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Finding the Fourth Proportional to 186.96, 257.92 and 150.20

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Solution

The fourth proportional to 186.96, 257.92 and 150.20 is: 207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.96 : 257.92 = 150.20 : x
  2. Step 2: Convert to fraction form
    186.96/257.92 = 150.20/x
  3. Step 3: Cross multiply
    186.96x = 257.92 × 150.20
  4. Step 4: Simplify right side
    186.96x = 38,739.58
  5. Step 5: Solve for x
    x = 38,739.58/186.96
  6. Step 6: Final answer
    x = 207.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.